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132416908544 = 281933780783
BaseRepresentation
bin111101101010010101…
…0011010110100000000
3110122210100202220212002
41323110222122310000
54132142212033134
6140455333523132
712365262102644
oct1732452326400
9418710686762
10132416908544
1151180990308
12217b61a34a8
13c64383072b
1465a248ac24
1536a012987e
hex1ed4a9ad00

132416908544 has 72 divisors (see below), whose sum is σ = 279057018240. Its totient is φ = 62536900608.

The previous prime is 132416908543. The next prime is 132416908567. The reversal of 132416908544 is 445809614231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132416908543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1598777 + ... + 1679559.

It is an arithmetic number, because the mean of its divisors is an integer number (3875791920).

Almost surely, 2132416908544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132416908544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139528509120).

132416908544 is an abundant number, since it is smaller than the sum of its proper divisors (146640109696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132416908544 is an equidigital number, since it uses as much as digits as its factorization.

132416908544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81155 (or 81141 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 132416908544 in words is "one hundred thirty-two billion, four hundred sixteen million, nine hundred eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 337 608 674 1216 1348 2432 2696 4864 5392 6403 10784 12806 21568 25612 43136 51224 80783 86272 102448 161566 204896 323132 409792 646264 819584 1292528 1534877 1639168 2585056 3069754 5170112 6139508 10340224 12279016 20680448 24558032 27223871 49116064 54447742 98232128 108895484 196464256 217790968 392928512 435581936 517253549 871163872 1034507098 1742327744 2069014196 3484655488 4138028392 6969310976 8276056784 16552113568 33104227136 66208454272 132416908544